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Finding the Third Proportional to 214,814 and 331,941

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Solution

The third proportional to 214,814 and 331,941 is: 512,931.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,814 : 331,941 = 331,941 : x
  2. Step 2: Convert to fraction form
    214,814/331,941 = 331,941/x
  3. Step 3: Cross multiply
    214,814x = 331,941 × 331,941
  4. Step 4: Simplify right side
    214,814x = 110,184,827,481
  5. Step 5: Solve for x
    x = 110,184,827,481/214,814
  6. Step 6: Final answer
    x = 512,931.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.